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searching for Titu's lemma 3 found (5 total)

Nesbitt's inequality (1,471 words) [view diff] exact match in snippet view article find links to article

{2c}{a+b}}+{\frac {2b}{a+c}}+3\geq 6,} which then simplifies to the final result. Titu's lemma, a direct consequence of the Cauchy–Schwarz inequality, states that for

Pinsker's inequality (1,273 words) [view diff] exact match in snippet view article find links to article

Titu's lemma)}}\\&={\frac {1}{2}}E_{Q}[|r(x)|]^{2}&{\text{(As }}E_{Q}[1+r(x)/3]=1{\text{ )}}\\&={\frac {1}{2}}V(p,q)^{2}.\end{aligned}}} Here Titu's lemma

Cauchy–Schwarz inequality (5,151 words) [view diff] exact match in snippet view article find links to article

also called Bergström's inequality, Engel's form, the T2 lemma, or Titu's lemma, states that for real numbers u 1 , u 2 , … , u n {\displaystyle u_{1}